Wave reflection in a semiconductor nonlocal medium using temperature rate-dependent theory

Abstract

The current research article investigates the transmission and reflection of waves in a nonlocal semiconductor, considering the influence of temperature rate-dependent theory. The governing equations are decomposed using Helmholtz vector rule and transformed to the system of algebraic homogeneous equations. The non-trivial solution of the algebraic equations yields a dispersion relation corresponds to propagation speed. Three coupled longitudinal waves are obtained from the dispersion relation. Moreover, there is a separate non-dispersive transverse wave propagating through the medium. The propagation speed of the wave has been computed. The cut-off frequencies for the respective waves have been discussed. The reflection of coupled longitudinal displacement waves at the boundary of the medium is also studied. The amplitudes ratios of the reflected waves are derived analytically using a set of suitable boundary conditions. The obtained results are discussed graphically for a particular semiconductor material, Silicon, for various physical parameters. The calculated results are validated in the context of energy conservation. The novelty of the manuscript includes the plasma transport process, producing the earlier results in the literature as a special case.